Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {Je1>, Je2>, Je3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: 3 i 0 7 1- 2 0. 2a H= hwo -i 3 0 0 2 B= bo D= -i 7 1+ i 0. 2a 0. 1+i 1-i 6 2a 0. -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: ei| v(0) |v(0)) = |Re2lv(0) (e3| v(0) 3 Q: What is the expectation value of H at t+0
Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {Je1>, Je2>, Je3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: 3 i 0 7 1- 2 0. 2a H= hwo -i 3 0 0 2 B= bo D= -i 7 1+ i 0. 2a 0. 1+i 1-i 6 2a 0. -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: ei| v(0) |v(0)) = |Re2lv(0) (e3| v(0) 3 Q: What is the expectation value of H at t+0
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Transcribed Image Text:Consider a physical system whose three-dimensional state
space is spanned by the orthonormal basis formed by the three
kets {Je1>, le2>, Je3>}. In the basis of these three vectors, taken
in this order, the Hamiltonian H^ and the two operators B^ and
D^ are defined by:
7
i
1- i
2a
H= hwo | -i 3 0
0 2
B= bo
-i
1+i
D=
0.
2a
1+i 1- i
6.
2a
-3a
where wo and bo are constants. Also using this ordered basis,
the initial state of the system is given by:
(e1|v(0)
e2l (0)
e3| v(0))
|(0)) =
Q: What is the expectation value of H at t +0
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